102729456 has 30 divisors (see below), whose sum is σ = 287500200. Its totient is φ = 34243104.

The previous prime is 102729449. The next prime is 102729457. The reversal of 102729456 is 654927201.

It is a super-2 number, since 2×102729456² = 21106682260111872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102729456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102729457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 356556 + ... + 356843.

It is an arithmetic number, because the mean of its divisors is an integer number (9583340).

Almost surely, 2^102729456 is an apocalyptic number.

102729456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102729456 is an abundant number, since it is smaller than the sum of its proper divisors (184770744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102729456 is a wasteful number, since it uses less digits than its factorization.

102729456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713413 (or 713404 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 102729456 is about 10135.5540549099. The cubic root of 102729456 is about 468.3440380640.

The spelling of 102729456 in words is "one hundred two million, seven hundred twenty-nine thousand, four hundred fifty-six".